I present a new command, kcdf, for bandwidth selection in kernel estimation of the cumulative distribution function. I briefly review plug-in and cross-validation bandwidth selectors, both of which are implemented in kcdf. I then describe the command syntax and illustrate its use with an application to artificial data.
AltmanN., and LégerC.1995. Bandwidth selection for kernel distribution function estimation. Journal of Statistical Planning and Inference46: 195–214.
2.
AzzaliniA.1981. A note on the estimation of a distribution function and quantiles by a kernel method. Biometrika68: 326–328.
3.
BowmanA., HallP., and PrvanT.1998. Bandwidth selection for the smoothing of distribution functions. Biometrika85: 799–808.
4.
EfronB.1979. Bootstrap methods: Another look at the jackknife. Annals of Statistics7: 1–26.
5.
JonesM. C.1990. The performance of kernel density functions in kernel distribution function estimation. Statistics and Probability Letters9: 129–132.
6.
KimC., KimS., ParkM., and LeeH.2006. A bias reducing technique in kernel distribution function estimation. Computational Statistics21: 589–601.
7.
MarronJ. S., and WandM. P.1992. Exact mean integrated squared error. Annals of Statistics20: 712–736.
8.
PolanskyA. M., and BakerE. R.2000. Multistage plug-in bandwidth selection for kernel distribution function estimates. Journal of Statistical Computation and Simulation65: 63–80.
9.
SilvermanB. W.1986. Density Estimation for Statistics and Data Analysis.Boca Raton, FL: Chapman & Hall/CRC.
10.
SwanepoelJ. W. H.1988. Mean integrated squared error properties and optimal kernels when estimating a distribution function. Communications in Statistics—Theory and Methods17: 3785–3799.
11.
SwanepoelJ. W. H., and Van GraanF. C.2005. A new kernel distribution function estimator based on a non-parametric transformation of the data. Scandinavian Journal of Statistics32: 551–562.
12.
TenreiroC.2006. Asymptotic behaviour of multistage plug-in bandwidth selections for kernel distribution function estimators. Journal of Nonparametric Statistics18: 101–116.
13.
Van KermP.2012. Kernel-smoothed cumulative distribution function estimation with akdensity. Stata Journal12: 543–548.
